Solution: 45.66 as a fraction is 2283/50
Methods
Converting 45.66 to a fraction, Step-by-Step
Step 1:
The first step to converting 45.66 to a fraction is to re-write 45.66 in the form p/q where p and q are both positive integers. To start with, 45.66 can be written as simply 45.66/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 45.66, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 45.66/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 45.66/1 each by 100:
45.66
×
100
1
×
100
=
4566
100
\frac{45.66 × 100}{1 × 100} = \frac{4566}{100}
1 × 100 45.66 × 100 = 100 4566
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer:
4566
100
=
2283
50
\frac{4566}{100} = \frac{2283}{50}
100 4566 = 50 2283
Convert Other Values to Fractions
Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:
What is 0.66 as a fraction?
What is 45.96 as a fraction?
What is 46.54 as a fraction?
What is 832.4 as a fraction?
What is 516.4 as a fraction?